Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.3 - Adding and Subtracting Algebraic Fractions - Problem Set 7.3 - Page 292: 52



Work Step by Step

By inspection, we see that the LCM of the denominators is $28$. Therefore, we create a common denominator using this LCM and obtain: $\frac{2n+3}{4}+\frac{4n-1}{7}$ =$\frac{7(2n+3)+4(4n-1)}{28}$ =$\frac{14n+21+16n-4}{28}$ =$\frac{14n+16n-4+21}{28}$ =$\frac{30n+17}{28}$
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